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Finding the Fourth Proportional to 2,128.83, 3,192.99 and 568.95

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Solution

The fourth proportional to 2,128.83, 3,192.99 and 568.95 is: 853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.83 : 3,192.99 = 568.95 : x
  2. Step 2: Convert to fraction form
    2,128.83/3,192.99 = 568.95/x
  3. Step 3: Cross multiply
    2,128.83x = 3,192.99 × 568.95
  4. Step 4: Simplify right side
    2,128.83x = 1,816,651.66
  5. Step 5: Solve for x
    x = 1,816,651.66/2,128.83
  6. Step 6: Final answer
    x = 853.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.